36814572748800 has 2880 divisors, whose sum is σ = 172535718168000. Its totient is φ = 7610145177600.

The previous prime is 36814572748777. The next prime is 36814572748861. The reversal of 36814572748800 is 884727541863.

It is a happy number.

36814572748800 is a `hidden beast` number, since 3 + 6 + 8 + 14 + 572 + 7 + 48 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190749081504 + ... + 190749081696.

It is an arithmetic number, because the mean of its divisors is an integer number (59908235475).

Almost surely, 2^{36814572748800} is an apocalyptic number.

36814572748800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36814572748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86267859084000).

36814572748800 is an abundant number, since it is smaller than the sum of its proper divisors (135721145419200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36814572748800 is an equidigital number, since it uses as much as digits as its factorization.

36814572748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 36814572748800 in words is "thirty-six trillion, eight hundred fourteen billion, five hundred seventy-two million, seven hundred forty-eight thousand, eight hundred".